Question

ТУ
5
Which equation represents the graphed function?
4
0.3)
fo
(3.2)
2.
O y=-3x + 3
o y = 3x - 3
O y= 3x - }
1 2 3
5
X
5 % -3 -2 -11
-2
-3
O y=x+3
15

Answer 1

Answer:

$y = -\frac{1}{3}x + 3$

Step-by-step explanation:

Required

The graph equation

From the graph, we have:

$(x_1,y_1) = (0,3)$

$(x_2,y_2) = (3,2)$

First, calculate the slope (m)

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{2-3}{3-0}$

$m = \frac{-1}{3}$

$m = -\frac{1}{3}$

The equation is calculated as:

$y = m(x - x_1) + y_1$

This gives:

$y = -\frac{1}{3}(x - 0) + 3$

$y = -\frac{1}{3}(x) + 3$

$y = -\frac{1}{3}x + 3$

Answer 2

The equation which represents the graphed function is; y = (-1/3)x + 3

Equation of a line

By observation, the graphed line crosses the y-axis at point; (0, 3). Hence, the y-intercept is at y= 3.

Additionally, the slope of the line can be evaluated by considering the two points given;

Slope, m = (2-3)/(3-0)

Slope, m = -1/3

Hence, the equation of the line is;

• y = (-1/3)x + 3

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